Home / 1,434.81-2,149.48-971.80

Finding the Fourth Proportional to 1,434.81, 2,149.48 and 971.80

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Solution

The fourth proportional to 1,434.81, 2,149.48 and 971.80 is: 1,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.81 : 2,149.48 = 971.80 : x
  2. Step 2: Convert to fraction form
    1,434.81/2,149.48 = 971.80/x
  3. Step 3: Cross multiply
    1,434.81x = 2,149.48 × 971.80
  4. Step 4: Simplify right side
    1,434.81x = 2,088,864.66
  5. Step 5: Solve for x
    x = 2,088,864.66/1,434.81
  6. Step 6: Final answer
    x = 1,455.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.